Question

If tan 2A = cot (A-18°) where 2A is an acute angle then find value A

Answer 1

tan a = cot(90-a)
Here, tan 2a = cot (a - 18)
tan 2a= cot(90- 2a )
cot(90-2a)=cot (a - 18)
90-2a = a-18
90+18=a+2a
3a=108
a= 36

Answer 2

Hope this will help you.